Rag, opening sentence of your NY Times link.

"The North Korean Government accused President Clinton today of provoking it with threats of war after he warned that the United States would retaliate if North Korea developed nuclear arms. "

What did Hillary Clinton say?

"North Korea's decision to conduct another nuclear test is outrageous and unacceptable.  I strongly condemn this reckless action, which – coupled with its recent series of missile launches – makes clear Pyongyang's determination to develop a deliverable nuclear weapon.  This constitutes a direct threat to the United States, and we cannot and will never accept this."
https://www.hillaryclinton.com/briefing/statements/2016/09/09/statement-from-hillary-clinton-on-north-koreas-nuclear-test/

So, not just Trump.